29,338,596

2² × 3² × 7 × 116423

29,338,596 factors as 2^2 × 3^2 × 7 × 116423. Its 36 positive divisors give a proper-divisor sum of 55,418,076, so this integer is abundant. The Collatz stopping time is 113 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 7 × 116423

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 84,756,672

Proper Divisor Sum 55,418,076

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #29338579 ← → #29338597

Radix Representation

Decimal	29338596
Binary	1101111111010101111100100 (25 bits)
Octal	0o157725744
Hexadecimal	0x1BFABE4

Divisor Catalog (36)

Collatz Trajectory (113 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

29,338,596 14,669,298 7,334,649 22,003,948 11,001,974 5,500,987 16,502,962 8,251,481 24,754,444 12,377,222 6,188,611 18,565,834 9,282,917 27,848,752 13,924,376 6,962,188 3,481,094 1,740,547 5,221,642 2,610,821 7,832,464 3,916,232 1,958,116 979,058 489,529 1,468,588 734,294 367,147 1,101,442 550,721 1,652,164 826,082 413,041 1,239,124 619,562 309,781 929,344 464,672 232,336 116,168 58,084 29,042 14,521 43,564 21,782 10,891 32,674 16,337 49,012 24,506 12,253 36,760 18,380 9,190 4,595 13,786 6,893 20,680 10,340 5,170

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